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Finding the Fourth Proportional to 3,388.81, 5,082.69 and 923.83

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Solution

The fourth proportional to 3,388.81, 5,082.69 and 923.83 is: 1,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.81 : 5,082.69 = 923.83 : x
  2. Step 2: Convert to fraction form
    3,388.81/5,082.69 = 923.83/x
  3. Step 3: Cross multiply
    3,388.81x = 5,082.69 × 923.83
  4. Step 4: Simplify right side
    3,388.81x = 4,695,526.49
  5. Step 5: Solve for x
    x = 4,695,526.49/3,388.81
  6. Step 6: Final answer
    x = 1,385.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.